GCD of 738, 800, 723, 771 Calculator

Given Input numbers are 738, 800, 723, 771

In the factoring method, we have to find the divisors of all numbers

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

GCD of numbers is the greatest common divisor

So, the GCD (738, 800, 723, 771) = 1.

Given numbers are 738, 800, 723, 771

The list of prime factors of all numbers are

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 723 are 3 x 241

Prime factors of 771 are 3 x 257

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 738, 800, 723, 771

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(738, 800) = 295200

GCD(738, 800) = ( 738 x 800 ) / 295200

= 738 / 800

= 738

Step2:

LCM(2, 723) = 1446

GCD(2, 723) = ( 2 x 723 ) / 1446

= 2 / 723

= 2

Step3:

LCM(1, 771) = 771

GCD(1, 771) = ( 1 x 771 ) / 771

= 1 / 771

= 1

So, Greatest Common Divisor of 738, 800, 723, 771 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 264, 719, 817, 285
• GCD of 223, 859, 152, 679
• GCD of 935, 527, 146, 754
• GCD of 734, 788, 848, 757
• GCD of 784, 970, 850, 227

Given numbers are 738, 800, 723, 771
The greatest common divisor of numbers 738, 800, 723, 771 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 800, 723, 771 is 1.

1. What is the GCD of 738, 800, 723, 771?

GCD of given numbers 738, 800, 723, 771 is 1

2. How to calculate the greatest common divisor of 738, 800, 723, 771?

We can find the highest common divisor of 738, 800, 723, 771 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 738, 800, 723, 771 i.e 1.

3. How can I use the GCD of 738, 800, 723, 771Calculator?

Out the numbers 738, 800, 723, 771 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.